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Finding the Fourth Proportional to 10,924.90, 16,387.44 and 6,776.98

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Solution

The fourth proportional to 10,924.90, 16,387.44 and 6,776.98 is: 10,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.90 : 16,387.44 = 6,776.98 : x
  2. Step 2: Convert to fraction form
    10,924.90/16,387.44 = 6,776.98/x
  3. Step 3: Cross multiply
    10,924.90x = 16,387.44 × 6,776.98
  4. Step 4: Simplify right side
    10,924.90x = 111,057,353.13
  5. Step 5: Solve for x
    x = 111,057,353.13/10,924.90
  6. Step 6: Final answer
    x = 10,165.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.